Greatest Common Factor of 375/94, 548/44, 304/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/94, 548/44, 304/382

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 375/94,548/44,304/382

Given fractions are 375/94,548/44,304/382

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 375,548,304

Greatest Common Factor of Numerators i.e. GCF of 375,548,304 is 1 .

LCM of Denominators means LCM of 94,44,382 as per the given fractions.

LCM of 94,44,382 is 394988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,548,304

GCF of Fractions 375/94,548/44,304/382 is 1/394988

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 375,548,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,548,304 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 375,548,304 . The biggest common factor number is the GCF number.
So the greatest common factor 375,548,304 is 1.

Lets's calculate LCM of 94,44,382

2 94, 44, 382
47, 22, 191

∴ So the LCM of the given numbers is 2 x 47 x 22 x 191 = 394988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394988

Therefore, the GCF of Fractions 375/94,548/44,304/382 is 1/394988

Least Common Multiple of 94,44,382 with GCF Formula

Least Common Multiple of 94,44,382 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 94,44,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,44,382) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(94,44,382) x common factors =2 x 2 = 4

LCM(94,44,382) = ( 94 × 44 × 382 ) / 4

LCM(94,44,382) = 1579952 / 4

LCM(94,44,382) = 394988


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 375/94, 548/44, 304/382

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 375/94, 548/44, 304/382?

Answer: GCF of Numerators as per given numbers 375/94, 548/44, 304/382 is

GCF of Numerators i.e. for 375,548,304 is 1

LCM of denominators i.e. for 94,44,382 is 394988.

Thus, GCF of Fractions is 1/394988.Finally, GCF of Fractions for 375/94, 548/44, 304/382 is 1/394988.